53088999264 has 672 divisors, whose sum is σ = 191967874560. Its totient is φ = 14108774400.

The previous prime is 53088999181. The next prime is 53088999269. The reversal of 53088999264 is 46299988035.

53088999264 is a `hidden beast` number, since 530 + 8 + 8 + 9 + 9 + 92 + 6 + 4 = 666.

53088999264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53088999269) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 220286184 + ... + 220286424.

It is an arithmetic number, because the mean of its divisors is an integer number (285666480).

Almost surely, 2^53088999264 is an apocalyptic number.

53088999264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53088999264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95983937280).

53088999264 is an abundant number, since it is smaller than the sum of its proper divisors (138878875296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53088999264 is a wasteful number, since it uses less digits than its factorization.

53088999264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 53088999264 in words is "fifty-three billion, eighty-eight million, nine hundred ninety-nine thousand, two hundred sixty-four".